The TiVO will only connect to a TV. It won't connect to anything else.
Actually The TiVo and V6 will connect fine to a Xbox One's HDMI input and the OneGuide is setup for Virgin Media. As long as you have either the IR thing or a Konnect then the Xbox will change the channel on the TiVo without having to use the remote.
I know both work as I have tried it myself.
100Mb(SH2 SH2AC Hub 3.0), 100Mb Business 5 Static IP (Hitron Hub) TiVo V6 Player TV Sky Q Entertainment, HD & Box Sets,